13600356956640 has 960 divisors, whose sum is σ = 50903373096576. Its totient is φ = 3412637319168.

The previous prime is 13600356956629. The next prime is 13600356956707. The reversal of 13600356956640 is 4665965300631.

It is a happy number.

13600356956640 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 0 + 35 + 6 + 9 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13425820774 + ... + 13425821786.

Almost surely, 2^{13600356956640} is an apocalyptic number.

13600356956640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13600356956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25451686548288).

13600356956640 is an abundant number, since it is smaller than the sum of its proper divisors (37303016139936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13600356956640 is a wasteful number, since it uses less digits than its factorization.

13600356956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 13600356956640 in words is "thirteen trillion, six hundred billion, three hundred fifty-six million, nine hundred fifty-six thousand, six hundred forty".